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Mathematic algorithm for basis
In mathematics, the Zassenhaus algorithm is a method to calculate a basis for the intersection and sum of two subspaces of a vector space. It is named
Zassenhaus_algorithm
Algorithm for factoring polynomials over finite fields
algebra, the Cantor–Zassenhaus algorithm is a method for factoring polynomials over finite fields (also called Galois fields). The algorithm consists mainly
Cantor–Zassenhaus_algorithm
Berlekamp–Zassenhaus algorithm is an algorithm for factoring polynomials over the integers, named after Elwyn Berlekamp and Hans Zassenhaus. As a consequence
Berlekamp–Zassenhaus algorithm
Berlekamp–Zassenhaus_algorithm
are randomized algorithms of polynomial time complexity (for example Cantor–Zassenhaus algorithm). There are also deterministic algorithms with a polynomial
Factorization of polynomials over finite fields
Factorization_of_polynomials_over_finite_fields
Surname list
Zassenhaus is a German surname. Notable people with the surname include: Hans Zassenhaus (1912–1991), German mathematician Zassenhaus algorithm Zassenhaus
Zassenhaus
American mathematician (1940–2019)
Berlekamp–Massey algorithms, which are used to implement Reed–Solomon error correction. He also co-invented the Berlekamp–Rabin algorithm, Berlekamp–Zassenhaus algorithm
Elwyn_Berlekamp
German mathematician (1912–1991)
edited by Zassenhaus (ISBN 0-12-776350-3). It included "A Theorem on Cyclic Algebras" by Zassenhaus. Cambridge University Press published Algorithmic Algebraic
Hans_Zassenhaus
Method in computational algebra
Berlekamp in 1967. It was the dominant algorithm for solving the problem until the Cantor–Zassenhaus algorithm of 1981. It is currently implemented in
Berlekamp's_algorithm
American mathematician (1935–2012)
and combinatorics. The Cantor–Zassenhaus algorithm for factoring polynomials is named after him; he and Hans Zassenhaus published it in 1981. Cantor was
David_G._Cantor
Mathematical element
Generalization of the Zassenhaus Algorithm: This approach generalizes the Zassenhaus algorithm (also known as the Round-Two algorithm) from the specific
Integral_element
Buchberger's algorithm: finds a Gröbner basis Cantor–Zassenhaus algorithm: factor polynomials over finite fields Faugère F4 algorithm: finds a Gröbner
List_of_algorithms
Computational method
can be reconstructed from its image mod m {\displaystyle m} . The Zassenhaus algorithm proceeds as follows. First, choose a prime number p {\displaystyle
Factorization_of_polynomials
Scientific area at the interface between computer science and mathematics
Euclidean algorithm. Buchberger's algorithm: finds a Gröbner basis Cantor–Zassenhaus algorithm: factor polynomials over finite fields Faugère F4 algorithm: finds
Computer_algebra
Mathematical software
Cantor–Zassenhaus algorithm. Greatest common divisor via e.g. Euclidean algorithm Gaussian elimination Gröbner basis via e.g. Buchberger's algorithm; generalization
Computer_algebra_system
In mathematics, vector subspace
intersection U ∩ W {\displaystyle U\cap W} can be calculated using the Zassenhaus algorithm. Input A basis {b1, b2, ..., bk} for a subspace S of Kn Output An
Linear_subspace
product Schur product theorem Schur test Schur's property Schur's theorem Schur's number Schur–Horn theorem Schur–Weyl duality Schur–Zassenhaus theorem
List of things named after Issai Schur
List_of_things_named_after_Issai_Schur
Topics referred to by the same term
David G. Cantor (1935–2012), American mathematician Cantor–Zassenhaus algorithm – Algorithm for factoring polynomials over finite fields Cantor, New Brunswick
Cantor_(disambiguation)
Computation process in mathematical algorithms
hashing algorithm, so that a change in any one bit has the possibility of changing all the bits in the large array. Mathematical diagram Zassenhaus lemma
Butterfly_diagram
semigroup Weak order of permutations Wreath product Young symmetrizer Zassenhaus group Zolotarev's lemma Burnside ring Conditionally convergent series
List_of_permutation_topics
Limits ideals to be checked in order to determine the class number of a number field
Springer. ISBN 0-387-94225-4. Zbl 0811.11001. Pohst, M.; Zassenhaus, H. (1989). Algorithmic Algebraic Number Theory. Encyclopedia of Mathematics and its
Minkowski's_bound
Austrian mathematician (1901–1929)
Algebra and Matrix Theory has been republished by Dover. According to Hans Zassenhaus: O. Schreier's and Artin's ingenious characterization of formally real
Otto_Schreier
refinement theorem Subgroup Transversal (combinatorics) Torsion subgroup Zassenhaus lemma Automorphism Automorphism group Factor group Fundamental theorem
List_of_group_theory_topics
108–109 Reiner (2003) p. 110 Pohst and Zassenhaus (1989) p. 22 Pohst, M.; Zassenhaus, H. (1989). Algorithmic Algebraic Number Theory. Encyclopedia of
Order_(ring_theory)
Mathematical space
ISBN 978-3-540-16053-3. Brown, H; Bülow, R; Neubüser, J; Wondratschek, H; Zassenhaus, H (1978). Crystallographic groups of four-dimensional space. John Wiley
4-manifold
History of a branch of mathematics
major result in this area since Sylow. This period saw Hans Zassenhaus's famous Schur-Zassenhaus theorem on the existence of complements to Hall's generalization
History_of_group_theory
Symmetry group of a configuration in space
ISSN 0025-5831, S2CID 119472023 Zassenhaus, Hans (1948). "Über einen Algorithmus zur Bestimmung der Raumgruppen" [On an algorithm for the determination of space
Space_group
Theorem classifying finite simple groups
theoretical algorithm for the graph isomorphism problem in 1982 The Schreier conjecture The Signalizer functor theorem The B conjecture The Schur–Zassenhaus theorem
Classification of finite simple groups
Classification_of_finite_simple_groups
The multislice algorithm is a method for the simulation of the elastic scattering of an electron beam with matter, including all multiple scattering effects
Multislice
German mathematician (born 1953)
1984 he passed the second state examination. In 1985/86 he was with Hans Zassenhaus at Ohio State University on a scholarship from the Alexander von Humboldt
Johannes_Buchmann
of theorems and similar statements include: List of algebras List of algorithms List of axioms List of conjectures List of data structures List of derivatives
List_of_theorems
Geometry of the location of polynomial roots
respectively. Another bound, originally given by Lagrange, but attributed to Zassenhaus by Donald Knuth, is 2 max { | a n − 1 a n | , | a n − 2 a n | 1 / 2 ,
Geometrical properties of polynomial roots
Geometrical_properties_of_polynomial_roots
Magma obeying the Latin square property
three requirements of a group. The following construction is due to Hans Zassenhaus. On the underlying set of the four-dimensional vector space F4 over the
Quasigroup
Disjoint, equal-size subsets of a group's underlying set
Group Theory, Courier Dover Publications, pp. 19 ff, ISBN 0-486-65377-3 Zassenhaus, Hans J. (1999), "§1.4 Subgroups", The Theory of Groups, Courier Dover
Coset
German mathematician (1875–1941)
Schur–Weyl duality Lehmer–Schur algorithm Schur's property for normed spaces. Jordan–Schur theorem Schur–Zassenhaus theorem Schur triple Schur decomposition
Issai_Schur
Mathematical Society. p. 214. Olson, John (1977). "Henry B. Mann". In Zassenhaus, Hans (ed.). Number theory and algebra: Collected papers dedicated to
List_of_Jewish_mathematicians
ZASSENHAUS ALGORITHM
ZASSENHAUS ALGORITHM
ZASSENHAUS ALGORITHM
ZASSENHAUS ALGORITHM
Male
Dutch
, stern lion, or, strong as a lion.
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Japanese
(1-秋å, 2-明å, 3-晶å) Japanese name AKIKO means 1) "autumn child" or 2) "bright child" or 3) "sparkling child."
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Guide; Lively
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One who adorns peacock feathers
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Combination of Durga and Ishwar
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Sign; Distinct; Prophet's Daughter
Female
English
 English form of French Geneviève, probably GENEVIEVE means "race of women."
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Tamil
Sober
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Muslim
Good luck
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Hindu, Indian
Well Wisher
ZASSENHAUS ALGORITHM
ZASSENHAUS ALGORITHM
ZASSENHAUS ALGORITHM
ZASSENHAUS ALGORITHM
ZASSENHAUS ALGORITHM
n.
Alt. of Algorithm
n.
The art of calculating with any species of notation; as, the algorithms of fractions, proportions, surds, etc.
n.
The art of calculating by nine figures and zero.